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Finding the Fourth Proportional to 613.50, 847.24 and 392.54

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Solution

The fourth proportional to 613.50, 847.24 and 392.54 is: 542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.50 : 847.24 = 392.54 : x
  2. Step 2: Convert to fraction form
    613.50/847.24 = 392.54/x
  3. Step 3: Cross multiply
    613.50x = 847.24 × 392.54
  4. Step 4: Simplify right side
    613.50x = 332,575.59
  5. Step 5: Solve for x
    x = 332,575.59/613.50
  6. Step 6: Final answer
    x = 542.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.